Answer:
The minimum mass of coke needed to produce 850 t is equal to 172223.4 kg
Explanation:
The balanced reaction for the formation of the is as follows:
2Fe + 3/2O2 = Fe2O3, ΔG = -830 kJ/mol
Fe2O3 = 2Fe + 3/2O2, ΔG = +830 kJ/mol
2Fe2O3 = 4Fe + 3O2, ΔG = (+830*2) = +1660 kJ/mol
the mass of iron = 850 ton = 850000 kg
the necessary energy will be equal to:
Energy = (1660*850000)/(4*56x10^-3) = 6.299x10^9 kJ
the energy released by 1 mole of CO2 is equal to 439 kJ/mol
mol of CO2 = 6.299x10^9/439 = 1.434x10^7 mol
now we will calculate the kilograms of coke that are required:
mass of coke = 1.434x10^7 mol * (12.01 g/mol) * (1 kg/1000 g) = 172223.4 kg
